Question

Differentiate (x-1)(x-2)w.t x?

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Answer 1

Let y=

x

x

2

+1

⇒

dx

dy

=

x

2

x

dx

d

(x

2

+1)−(x

2

+1)

dx

d

(x)

⇒

dx

dy

=

x

2

x(2x)−(x

2

+1)

⇒

dx

dy

=

x

2

2x

2

−x

2

−1

⇒

dx

dy

=

x

2

x

2

−1

=1−

x

2

1